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11281152 = 28337397
BaseRepresentation
bin101011000010…
…001100000000
3210020010211110
4223002030000
510341444102
61041443320
7164613441
oct53021400
923203743
1011281152
116405773
123940540
13244ca4c
1416d92c8
15ecc86c
hexac2300

11281152 has 72 divisors (see below), whose sum is σ = 30913456. Its totient is φ = 3649536.

The previous prime is 11281147. The next prime is 11281159. The reversal of 11281152 is 25118211.

It is not an unprimeable number, because it can be changed into a prime (11281159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28218 + ... + 28614.

Almost surely, 211281152 is an apocalyptic number.

11281152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11281152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15456728).

11281152 is an abundant number, since it is smaller than the sum of its proper divisors (19632304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11281152 is an equidigital number, since it uses as much as digits as its factorization.

11281152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 439 counting only the distinct ones).

The product of its digits is 160, while the sum is 21.

The square root of 11281152 is about 3358.7426218750. The cubic root of 11281152 is about 224.2768685283.

Adding to 11281152 its reverse (25118211), we get a palindrome (36399363).

The spelling of 11281152 in words is "eleven million, two hundred eighty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 384 397 444 592 768 794 888 1184 1191 1588 1776 2368 2382 3176 3552 4736 4764 6352 7104 9472 9528 12704 14208 14689 19056 25408 28416 29378 38112 44067 50816 58756 76224 88134 101632 117512 152448 176268 235024 304896 352536 470048 705072 940096 1410144 1880192 2820288 3760384 5640576 11281152